lsp maths plans 2020-2021 - eastharptreeandubley.org.uk

LSP Maths Plans

2020-2021

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We believe that all children, pupils and young people can be successful

mathematicians. We will support them to achieve this by providing an ambitious and carefully constructed mastery curriculum in

mathmatics for all pupils. Through the explicit teaching pupils gain a deep

understanding of key concepts and build upon these in order to make sustained progress. We provide opportunities to understand as well as experience the

creativity and connectivity of maths to other areas of life. We want our pupils to become high quality mathematicians who are fluent in the fundamentals of maths, who can reason mathematically and solve

problems both in maths and across the curriculum. Pupil's will leave our schools ready for the next stage in their life and

for the challenges ahead.

Mathematical

Growth Mindset

All adults and pupils

Confidence

Purpose

Enjoyment

Subject Expertise of all Staff

Representations and Structures

Small steps in learning

High quality CPD

Misconceptions

Thinking/reasoning

Age related expectations

Collaborative Working

Systems

Teach up, keep up

Mathematics daily

timetable

Flexible lesson structure

Medium term plans

Role of support staff

Arithmetic Proficiency

Fluency

Variation

Mathematical thinking

Representations and Structures

Coherence

Maths Intent

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LSP Maths Plans

2020-2021

Mixed Age Medium Term Plans

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Maths Medium Term Plan Year 1 and Year 2

Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12

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Number and Place Value – Year 1 to 20 Year 2 to 100

count to and across 20 forwards and backwards, beginning with 0 or 1, or from any given number

count, read and write numbers to 20 in numerals and words

given a number, identify 1 more and 1 less

identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least

count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward

recognise the place value of each digit in a two-digit number (tens, ones)

identify, represent and estimate numbers using different representations, including the number line

compare and order numbers from 0 up to 100; use <, > and = signs

read and write numbers to at least 100 in numerals and in words

use place value and number facts to solve problems. Year 1: read and write numbers to at least 100 in numerals and words

Addition and subtraction – Year 1 to 20 (inc money) Year 2 within 100 (inc money)

read, write and interpret mathematical statements involving addition (+), subtraction (−) and equals (=) signs

represent and use number bonds and related subtraction facts within 20

add and subtract one-digit and two-digit numbers to 20, including 0

solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? – 9

recognise and know the value of different denominations of coins and notes

solve problems with addition and subtraction: using concrete objects and pictorial representations, including those involving numbers, quantities and measures

applying their increasing knowledge of mental and written methods

recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100

add and subtract numbers using concrete objects, pictorial representations, and mentally, including:

a two-digit number and ones

a two-digit number and tens

two two-digit numbers

adding three one-digit numbers

show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot

recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.

recognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular value

find different combinations of coins that equal the same amounts of money

solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change

Number: and– Year 1 Place Value to 50 and multiplication Year 2: Multiplication

count to and across 50, forwards and backwards, beginning with 0 or 1, or from any given number

count, read and write numbers to 50 in numerals and words;

count in multiples of 2s, 5s and 10s



solve one step problems involving multiplication and division, by calculation the answer using concrete objects, pictorial representations and arrays with the support of the teacher

count in steps of 2, 3, 5 and 3 from 0, and in tens from any number, forward and backward

calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs

show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot

solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts.

Recall and use multiplication and division facts for 2,5,and 10 times tables, including recognising odd and even numbers

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Number: Year 1 Division and Consolidation Year 2: Division

Count in multiples of 2,5 and 10

solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher = ? – 9

recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers




Year 1 Place Value to 100


count, read and write numbers to 100 in numerals; count in multiples of 2s, 5s and 10s



Measurement – Length and Height

Compare, describe and solve practical problems for lengths and heights [for example, long/short, longer/shorter, tall/short, double/half]

measure and begin to record the following:

Length and height

choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); using rulers, scales,

compare and order lengths and record the results using >, < and =

Shape

recognise and name common 2-D and 3-D shapes, including: 2-D shapes [for example, rectangles (including squares), circles and triangles]

recognise and name common 3-D shapes [for example, cuboids (including cubes), pyramids and spheres]

identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line

identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces

identify 2-D shapes on the surface of 3-D shapes [for example, a circle on a cylinder and a triangle on a pyramid]

compare and sort common 2-D and 3-D shapes and everyday objects

Number: Year 1 Fractions and Consolidation

Year 2: Fractions

recognise, find and name a half as 1 of 2 equal parts of an object, shape or quantity

recognise, find and name a quarter as 1 of 4 equal parts of an object, shape or quantity


Compare, describe and solve practical problems for mass/weight [for example, heavy/light, heavier than, lighter than]

recognise, find, name and write fractions ½, 1/3, 2/4, and ¾ of a length, shape, set of objects or quantity

write simple fractions for example, ½ of 6 = 3 and recognise the equivalence of 2/4 and ½ .

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Year 2 Statistics

interpret and construct simple pictograms, tally charts, block diagrams and simple tables

ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity

ask and answer questions about totalling and comparing categorical data.

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Position and direction

describe position, direction and movement, including whole, half, quarter and three-quarter turns

order and arrange combinations of mathematical objects in patterns and sequences

use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anticlockwise).

Time

Measure and begin to record time [for example, quicker, slower, earlier, later] time (hours, minutes, seconds)

sequence events in chronological order using language [for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening]

recognise and use language relating to dates, including days of the week, weeks, months and years

tell the time to the hour and half past the hour and draw the hands on a clock face to show these times

compare and sequence intervals of time

tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times

know the number of minutes in an hour and the number of hours in a day

Year 1: Place Value recap Measurement


capacity and volume [for example, full/empty, more than, less than, half, half full, quarter]


mass/weight

capacity and volume

Year 2: Measurement: Mass. Capacity and temperature

Choose and use appropriate standard units to estimate and measure (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using thermometers and measuring vessels

compare and order, mass, volume/capacity and record the results using >, < and =

Year 1: Four Operations recap Year 2: Consolidation and Investigations

Year 2: Problem Solving

Year one: consolidate their learning on place value

Year two: teacher assessment gaps in understanding

Maths Year 1 and 2: Medium term maths overview, with National Curriculum references, based on the White Rose Maths SOL

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Number and Place Value –Year 2 to 100 Year 3 to 1,000







count from 0 in multiples of 4, 8, 50 and 100;

find 10 or 100 more or less than a given number

recognise the place value of each digit in a three-digit number (hundreds, tens, ones)

compare and order numbers up to 1000

identify, represent and estimate numbers using different representations

read and write numbers up to 1000 in numerals and in words

solve number problems and practical problems involving these ideas

Addition and subtraction – Year 2 within 100 (inc money) Year 3 within 1000 (inc money)




add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a two-digit number and ones, a two-digit number and tens, two two-digit numbers, adding three one-digit numbers






add and subtract amounts of money to give change, using both £ and p in practical contexts

add and subtract numbers mentally, including: a three-digit number and ones, a three-digit number and tens, a three-digit number and hundreds

add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction

estimate the answer to a calculation and use inverse operations to check answers

solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

Multiplication

count in steps of 2, 3, 5 and 3 from 0, and in tens from any number, forward and backward




Recall and use multiplication and division facts for 2,5,and 10 times tables, including recognising odd and even numbers

count from 0 in multiples of 4, 8

recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables

write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods

solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.

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Division








Statistics




interpret and present data using bar charts, pictograms and tables

solve one-step and two-step questions [for example, ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables.

Measurement – Length and Height

choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); using rulers, scales,

compare and order lengths and record the results using >, < and

measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g), volume and capacity (l/ml)

measure the perimeter of simple 2-D shapes

Geometry: Year 2: Shape, Position and Direction Year 3: Shape and Perimeter







draw 2-D shapes and make 3-D shapes using modelling materials;

recognise 3-D shapes in different orientations and describe them

recognise angles as a property of shape or a description of a turn

identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle

identify horizontal and vertical lines and pairs of perpendicular and parallel lines



Number: Year 2 Fractions and Consolidation

Year 3: Fractions



count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10

recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators

recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators

recognise and show, using diagrams, equivalent fractions with small denominators

add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7

compare and order unit fractions, and fractions with the same denominators

solve problems that involve all of the above.

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Measurement: Time




tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks

estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnight

know the number of seconds in a minute and the number of days in each month, year and leap year

compare durations of events [for example to calculate the time taken by particular events or tasks].

Problem solving and efficient methods Year 2 Use assessment to address gaps in learning and possibly statutory assessments Year 3 Recap on the four operations Use assessment knowledge to address gaps in learning

Measurement Year 2: Mass, Capacity and temperature Year 3: Mass and Capacity



measure, compare, add and subtract: mass (kg/g); volume/capacity (l/ml)

Consolidation and Investigations Use assessment to consolidate any areas which require development.

Year 3 Recap Fractions and SSM.

Use data to identify any areas which require further development


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count in multiples of 6, 7, 9, 25 and 1000

find 1000 more or less than a given number

count backwards through zero to include negative numbers

recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)

order and compare numbers beyond 1000


round any number to the nearest 10, 100 or 1000

solve number and practical problems that involve all of the above and with increasingly large positive numbers

read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.

Number: Addition and subtraction)


add and subtract numbers mentally, including: a three-digit number and ones, a three-digit number and tens, a three-digit number and hundreds




add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate

estimate and use inverse operations to check answers to a calculation

solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

Number: Multiplication and division





recall multiplication and division facts for multiplication tables up to 12 × 12

solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.


use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together 3 numbers

recognise and use factor pairs and commutativity in mental calculations

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use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers


multiply two-digit and three-digit numbers by a one-digit number using formal written layout


Length: Perimeter and area



Convert between different units of measure [for example, kilometre to metre; hour to minute]

measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres

find the area of rectilinear shapes by counting squares

Year 3: Fractions







solve problems that involve all of the above.

recognise and show, using diagrams, families of common equivalent fractions

count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.

solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number

add and subtract fractions with the same denominator

Y3: Measurement: Mass and Capacity


Y4: Number: Decimals

recognise and write decimal equivalents of any number of tenths or hundredths

find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths

solve simple measure and money problems involving fractions and decimals to two decimal places.

Convert between different units of measure e.g. metres to kilometres.

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Number: Decimals (including money)


compare numbers with the same number of decimal places up to two decimal places

round decimals with one decimal place to the nearest whole number

recognise and write decimal equivalents to ¼, ½, ¾


estimate, compare and calculate different measures, including money in pounds and pence


Measurement: Time





read, write and convert time between analogue and digital 12- and 24-hour clocks

solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

Statistics



interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.

solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs

Geometry: Properties of shape (including in Y4 position and direction)






compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes

identify acute and obtuse angles and compare and order angles up to two right angles by size

identify lines of symmetry in 2-D shapes presented in different orientations

complete a simple symmetric figure with respect to a specific line of symmetry

describe positions on a 2-D grid as coordinates in the first quadrant

describe movements between positions as translations of a given unit to the left/right and up/down

plot specified points and draw sides to complete a given polygon. (not found in WRM)


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read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit

count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000

interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero

round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000

solve number problems and practical problems that involve all of the above

read Roman numerals to 1000 (M) and recognise years written in Roman numerals.

Number: Addition and subtraction




add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)

add and subtract numbers mentally with increasingly large numbers

use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy

solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.









multiply and divide numbers mentally drawing upon known facts

multiply by 10,100 and 1000

identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers

know and use the vocabulary of prime numbers, prime factors and composite (nonprime) numbers

establish whether a number up to 100 is prime and recall prime numbers up to 19

recognise and use square numbers and cube numbers, and the notation for squared ( 2 ) and cubed (3 )

solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes

solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.

Measurement: Perimeter and area




measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres

calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2 ) and square metres (m2 ) and estimate the area of irregular shapes.

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multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers


divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context

solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign

Number: Fractions





compare and order fractions whose denominators are all multiples of the same number

identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5]

add and subtract fractions with the same denominator and denominators that are multiples of the same number

multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams

read and write decimal numbers as fractions [for example, 0.71 = 71/100]


Number: Decimals









read, write, order and compare numbers with up to three decimal places

recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents

round decimals with two decimal places to the nearest whole number and to one decimal place

solve problems involving number up to three decimal places

recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal

solve problems which require knowing percentage and decimal equivalents of ½, ¼, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25.

Recognise and write decimal equivalents of any number of tenths or hundredths

Find the effect of dividing a one or two-digit number to 10 or 100, identify the value of the digits in the answer as ones, tenths and hundredths

Solve simple measure and money problems involving fractions and decimals to two decimal places

convert between different units of measure (for example km to m)

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Number: Decimals (including money)













Measurement: Time between analogue and digital 12- and 24-hour clocks


solve problems involving converting between units of time

Statistics



solve comparison, sum and difference problems using information presented in a line graph

complete, read and interpret information in tables, including timetables

Geometry: Properties of shape




complete a simple symmetric figure with respect to a specific line of symmetry identify 3-D shapes, including cubes and other cuboids, from 2-D representations

know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

draw given angles, and measure them in degrees (o )

identify: angles at a point and one whole turn (total 360o ) , angles at a point on a straight line and 1/2 a turn (total 180o ), other multiples of 90o

use the properties of rectangles to deduce related facts and find missing lengths and angles

distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

Geometry: Position and Direction



plot specified points and draw sides to complete a given polygon. (not found in WRM)

identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed

Y4 consolidation

Convert between different units of measure [for example, kilometre to metre; hour to minute] Y5 Converting Units and volume

convert between different units of metric measure (for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre)


understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints

estimate volume [for example, using 1 cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water]

use all four operations to solve problems involving measure

Consolidation


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Number and Place Value







read, write, order and compare numbers up to 10 000 000 and determine the value of each digit required degree of accuracy

round any whole number to a required degree of accuracy

use negative numbers in context, and calculate intervals across zero

solve number and practical problems that involve all of the above

Number: Four Operations












recognise and use square numbers and cube numbers, and the notation for squared ( 2 ) and cubed (3 )




multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication

divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context

divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context

perform mental calculations, including with mixed operations and large numbers

identify common factors, common multiples and prime numbers

use their knowledge of the order of operations to carry out calculations involving the four operations

solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why Mathematics

solve problems involving addition, subtraction, multiplication and division

use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

Number: Fractions


identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example,2/5 + 4/5 = 6/5 = 1 1/5]





use common factors to simplify fractions; use common multiples to express fractions in the same denomination

compare and order fractions, including fractions > 1

add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, ¼ × ½ = 1/8 ]

divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6]

associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 1/8]

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Number: Decimals and Percentages






solve problems which require knowing percentage and decimal equivalents of ½, ¼, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25.


identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places

multiply one-digit numbers with up to two decimal places by whole numbers

use written division methods in cases where the answer has up to two decimal places

solve problems which require answers to be rounded to specified degrees of accuracy

solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison

recall and use equivalences between simple fractions, decimals and percentages, including in different context

Y5: Number: Decimals





Y6: Number: Algebra

use simple formulae

generate and describe linear number sequences

express missing number problems algebraically

find pairs of numbers that satisfy an equation with two unknowns

enumerate possibilities of combinations of two variables Teachers may choose to recap adding and subtracting decimals.

Measurement: Converting Units




solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate

use, read, write and convert between standard units, converting measurements of length, mass, volume and

Measurement: Perimeter, Area and Volume


calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapes.

estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water]


recognise that shapes with the same areas can have different perimeters and vice versa

recognise when it is possible to use formulae for area and volume of shapes

calculate the area of parallelograms and triangles

calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³].

Y5: Consolidation: Fractions

Use assessment to identify gaps in learning to be consolidated for the large amount ot content to be covered in the Autumn term

Y6: Number: Ratio

solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts

solve problems involving similar shapes where the scale factor is known or can be found

solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

Statistic



illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

interpret and construct pie charts and line graphs and use these to solve problems

calculate and interpret the mean as an average.

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time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places

convert between miles and kilometres

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Geometry: Properties of shape

identify 3-D shapes, including cubes and other cuboids, from 2-D representations


draw given angles, and measure them in degrees (°)

identify: angles at a point and one whole turn (total 360°) angles at a point on a straight line and ½ a turn (total 180°), other multiples of 90°



draw 2-D shapes using given dimensions and angles

recognise, describe and build simple 3-D shapes, including making nets

compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons

recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles



describe positions on the full coordinate grid (all four quadrants)

draw and translate simple shapes on the coordinate plane, and reflect them in the axes

Y5: Consolidation: Four Operations

Use assessment data to consolidate gaps in learning

Y5: Consolidation FDP Use assessment data to consolidate gaps in learning

Y5: consolidation: Measures

Use assessment data to consolidate gaps in learning

Consolidation

Y6: Assessment

During this time, it is likely that children will be undertaking their SATS

Year 6 Investigations


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LSP Maths Plans

2020-2021

Year Specific Medium Term Plans

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Medium Term Plan Year 1


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Number and Place Value – within 10





Addition and subtraction – within 10




solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? − 9

Shape

recognise and name common 2-D and 3-D shapes, including: 2-D shapes [for example, rectangles (including squares), circles and triangles]

recognise and name common 3-D shapes [for example, cuboids (including cubes), pyramids and spheres]


count to and across 20 forwards and backwards, beginning with 0 or 1, or from any given number

count, read and write numbers to 20 in numerals and words



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Addition and subtraction – within 20




solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? − 9



count, read and write numbers to 50 in numerals and words;

count in multiples of 2s, 5s



Measurement



lengths and height

Measurement


capacity and volume [for example, full/empty, more than, less than, half, half full, quarter]


mass/weight

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Multiplication and division

Count in multiples of 2,5 and 10

solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher

Fractions

recognise, find and name a half as 1 of 2 equal parts of an object, shape or quantity

recognise, find and name a quarter as 1 of 4 equal parts of an object, shape or quantity



Position and direction

describe position, direction and movement, including whole, half, quarter and three-quarter turns

Number and place value -within 100





Money


Time

Measure and begin to record time [for example, quicker, slower, earlier, later] time (hours, minutes, seconds)

sequence events in chronological order using language [for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening]

recognise and use language relating to dates, including days of the week, weeks, months and years

tell the time to the hour and half past the hour and draw the hands on a clock face to show these times

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Year 1: Medium term maths overview, with National Curriculum references, based on the White Rose Maths SOL

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Maths Medium Term Plan Year 2


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Number and place value







Number: Addition and Subtraction




add and subtract numbers using concrete objects, pictorial representations, and mentally, including:

a two-digit number and ones

a two-digit number and tens

two two-digit numbers

adding three one-digit numbers



Measurement and money








recall and use multiplication and division facts for 2,5,and 10 times tables, including recognising odd and even numbers

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Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12 S

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Number and Statistics




Geometry: Property of Shape





Number: Fractions



Length and height

choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); using

rulers, scales, compare and order lengths and record the results using >, < and =

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Geometry: position and direction



Problem solving efficient methods

Measurement: Time




Measurement: Mass. Capacity and temperature



Investigations

Year 2: Medium term maths overview, with National Curriculum references, based on the White Rose Maths SOL.

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Addition and subtraction

add and subtract numbers mentally, including:

a three-digit number and ones

a three-digit number and tens

a three-digit number and hundreds




Number: Multiplication and Division




solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects. C

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Measurement: Money


Statistics



Measurement: Length and Perimeter



Number: Fractions




solve problems that involve all of the above. C

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Number: Fractions




solve problems that involve all of the above

Measurement: Time





Geometry: Properties of Shape






Measurement: Capacity


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Measurement: Length and Perimeter








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Measurement: Area


Number: Fractions





Number: Decimals





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Number: Decimals





Measurement: Money



Measurement: Time

read, write and convert time between analogue and digital 12- and 24-hour clocks


Statistics







complete a simple symmetric figure with respect to a specific line of symmetry

Geometry: Position and direction



plot specified points and draw sides to complete a given polygon.

Can’t find in WRM

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Statistics









recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)



Measurement: Area and Perimeter


calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapes.

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Number: Fractions


identify, name and write equivalent fractions of a given fraction, represented visually, including

tenths and hundredths recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5]





Number: Decimals and Percentages






solve problems which require knowing percentage and decimal equivalents of ½, ¼, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25. C

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Number: Decimals






identify 3-D shapes, including cubes and other cuboids, from 2-D representations


draw given angles, and measure them in degrees (°)

identify: angles at a point and one whole turn (total 360°) angles at a point on a straight line and ½ a turn (total 180°), other multiples of 90°





Measurement: Converting Units




Measurement: Volume

estimate volume [for example, using 1 cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water]


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read, write, order and compare numbers up to 10 000 000 and determine the value of each digit

round any whole number to a required degree of accuracy

use negative numbers in context, and calculate intervals across zero

solve number and practical problems that involve all of the above

Number: Addition, subtraction and Multiplication and Division

multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication

divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context

divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context

perform mental calculations, including with mixed operations and large numbers

identify common factors, common multiples and prime numbers

use their knowledge of the order of operations to carry out calculations involving the four operations

solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

solve problems involving addition, subtraction, multiplication and division

use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

Number: Fractions

use common factors to simplify fractions; use common multiples to express fractions in the same denomination

compare and order fractions, including fractions > 1

add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, ¼ × ½ = 1/8]

divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6]

associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 1/8]


describe positions on the full coordinate grid (all four quadrants)

draw and translate simple shapes on the coordinate plane, and reflect them in the axes

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Number: Decimals

identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places

multiply one-digit numbers with up to two decimal places by whole numbers

use written division methods in cases where the answer has up to two decimal places

solve problems which require answers to be rounded to specified degrees of accuracy

Number Percentages

solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison

recall and use equivalences between simple fractions, decimals and percentages, including in different context

Number: Algebra

use simple formulae

generate and describe linear number sequences

express missing number problems algebraically

find pairs of numbers that satisfy an equation with two unknowns

enumerate possibilities of combinations of two variables

Measures: Converting Units

solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate

use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places

convert between miles and kilometres

Measure: Area, Perimeter and Volume

recognise that shapes with the same areas can have different perimeters and vice versa

recognise when it is possible to use formulae for area and volume of shapes

calculate the area of parallelograms and triangles

calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³].

Number: Ratio

solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts

solve problems involving similar shapes where the scale factor is known or can be found

solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

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draw 2-D shapes using given dimensions and angles

recognise, describe and build simple 3-D shapes, including making nets

compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons

recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles

Problem Solving Statistics

illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

interpret and construct pie charts and line graphs and use these to solve problems

calculate and interpret the mean as an average.

Investigations

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